4 papers
Elliptic Quantum Toroidal Algebra and Elliptic Stable Envelopes for the Quiver Varieties
Hitoshi Konno, Andrey Smirnov
We propose a new construction of vertex operators of the elliptic quantum toroidal algebra by combining representations of the algebra and fo…
Quantum Difference Equations for Grassmannians
Xingyu Cheng, Reese Lance, Nikhil Nagabandi +1
We consider quantum difference equation (QDE) for equivariant quantum K-theory of the Grassmannian. In this paper we obtain a solution to the QDE and use the solution to asymptotic…
Enumerative geometry via elliptic stable envelope
Andrey Smirnov
Assume is a variety for which the elliptic stable envelope exists. In this note we construct natural -difference equations from the elliptic stable envelope of . In examp…
Elliptic Quantum Toroidal Algebra U_{t_1,t_2,p}(gl_{1,tor}), Vertex Operators and L-operators
Hitoshi Konno, Andrey Smirnov
We propose new vertex operators, both the type I and the type II dual, of the elliptic quantum toroidal algebra U_{t_1,t_2,p}(gl_{1,tor}) by combining representations of U_{t_1,t_2…